Answer:
0.0847 = 8.47%
Step-by-step explanation:
Since 600 people are classified as Republicans, 400 people are classified as Democrats.
It can be calculated the number of people who voted for each party as follows:
Votes for Republicans = 600 (total Republicans) – 60 (Republicans who voted for the Democratic candidate) + 50 (Democrats who voted for the Republican candidate) = 590 votes
Votes for Democrats = 400 (total Democrats) – 50 (Democrats who voted for the Republican candidate) + 60 (Republicans who voted for the Democratic candidate) = 410 votes
A total of 590 people voted for the Republicans and 50 of those are Democrats. Thus, the probability that a person who voted for The Republican candidate is a Democrat can be calulated:
P = 50/590 = 0.0847 = 8.47%
Given:
AB= 20, BV=12, VA=14 and SR is a mid segment.
To find:
The lengths of SR and AR.
Solution:
SR is a mid segment. So, SR is parallel to the non-included side BV and the length of SR is half of BV.
SR is a mid segment. So, it divides the included sides in two equal parts. It means R is the midpoint of VA.
Therefore, the measure of SR is 6 units and the measure of AR is 7 units.
Answer:
x = 37°
Step-by-step explanation:
Given the triangle with two given exterior angles, m ∠107° and m ∠110°:
We can use the <u>exterior angle theorem</u> where it states that the measure of each exterior angle of a triangle is equal to the sum of the measures of the opposite and remote interior angles.
Start by finding the supplement of m ∠110°, that will serve as the other remote interior angle.
The supplement of ∠110° is:
∠110° + y = 180°
Where y = represents the other unknown interior angle.
Subtract ∠110° from both sides:
∠110° - ∠110° + y = 180° - ∠110°
y = 70°
Therefore, the other remote interior angle is y = 70°. Now, we can determine the value of x by establishing the following equation:
107° = x° + 70°
Subtract 70 from both sides:
107° - 70° = x° + 70°- 70°
x = 37°
What are you asking to solve?
